Smooth Curves with Gradient Mesh???

Hi everyone! For a school project I was to render an everyday object and I chose a pepper. I created the pepper with the mesh tool and also rendered it with the gradient mesh, now my instructor says that I need to have really smoothe curves but I have way too many anchor points so I don't know how to fix the curves. He said I might have to restart but please someone help me. I don't want to redo the whole thing.
Thank you.
Eagerly waiting for help.

You don't actually need to redo it in order to reduce the number of grid lines. With the gradient mesh tool it's possible to delete them.
Although I wouldn't consider this "way" too many. But you've got a problem with the dark spots in the upper right corner. It's too small to see the details there, but it looks like the grid lines overlap each other. try and fix that and then check if the points at the border are colored euqally.

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